Question

two rules for creating a pattern are given below. each rule begins with a number called the input and creates a number called the output.

rule 1: increase the input by 4 to get the output.

rule 2: multiply input by 2. then subtract 1 to get the output.

which input and output table works for both rules?

choose 1 answer:

(a)
\

$$\begin{tabular}{|c|c|} \\hline input & output \\\\ \\hline 5 & 9 \\\\ \\hline \\end{tabular}$$

(b)
\

$$\begin{tabular}{|c|c|} \\hline input & output \\\\ \\hline 10 & 14 \\\\ \\hline \\end{tabular}$$

(c)
\

$$\begin{tabular}{|c|c|} \\hline input & output \\\\ \\hline 8 & 15 \\\\ \\hline \\end{tabular}$$

Explanation:

Define equations for both rules

Using the Algebraic Rules knowledge point

$$
LATEXBLOCK0
$$

Find the common input-output pair

Using the Systems of Equations knowledge point

$$
LATEXBLOCK1
$$

Verify the options using the tables

Using the Function Tables knowledge point

$$
LATEXBLOCK2
$$

Answer:

• **(A)

Input	Output

• (B)

Input	Output

• (C)

Input	Output